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find the equation of the locus of a point that moves so that its distance from the line 3x4y+9=0 is always 5
 one year ago
 one year ago
find the equation of the locus of a point that moves so that its distance from the line 3x4y+9=0 is always 5
 one year ago
 one year ago

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ganeshie8Best ResponseYou've already chosen the best response.2
let that point be P (x, y)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
distance from a point to a line = \(\frac{Ax+By+C}{\sqrt{A^2 + B^2}}\)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
can you put the equation for distance ? from point P(x, y) to line 3x4y+9=0
 one year ago

virtusBest ResponseYou've already chosen the best response.1
oh so it would be (3x4y+9)/square root( 3^2 +(4)^2)
 one year ago

virtusBest ResponseYou've already chosen the best response.1
(3x 4y+9)/5 =5 3x 4y+9 =25 3x4y 16 =0
 one year ago

virtusBest ResponseYou've already chosen the best response.1
is that right ganeshi8?
 one year ago

virtusBest ResponseYou've already chosen the best response.1
btw i thought there was an ABSOLUTE SIGN around Ax + By + C for the formula
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
yep! u r right.. we must get two lines
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
3x4y+9 = 25, and, 3x4y + 9 = 25
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
it tricked me.... i was thinking there should be two lines at the very end. nice catch :)
 one year ago

virtusBest ResponseYou've already chosen the best response.1
thanks again  LOL and about writing GAPS yesterday, it wasn't meant to be rude or anything, just expressing my gratitude for your help ;)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
lol fine i get it nw :))
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
dw:1341791339629:dw
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
two lines we just got... which are at a distance of 5 from the given line... they look as above
 one year ago
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